Foundations of the Non-Linear Mechanics of Continua - 1st Edition - ISBN: 9781483197579, 9781483222608

Foundations of the Non-Linear Mechanics of Continua

1st Edition

International Series of Monographs in Interdisciplinary and Advanced Topics in Science and Engineering, Vol. 1

Authors: L. I. Sedov
Editors: Simon Ostrach
eBook ISBN: 9781483222608
Imprint: Pergamon
Published Date: 1st January 1966
Page Count: 268
Sales tax will be calculated at check-out Price includes VAT/GST
Price includes VAT/GST
× DRM-Free

Easy - Download and start reading immediately. There’s no activation process to access eBooks; all eBooks are fully searchable, and enabled for copying, pasting, and printing.

Flexible - Read on multiple operating systems and devices. Easily read eBooks on smart phones, computers, or any eBook readers, including Kindle.

Open - Buy once, receive and download all available eBook formats, including PDF, EPUB, and Mobi (for Kindle).

Institutional Access

Secure Checkout

Personal information is secured with SSL technology.

Free Shipping

Free global shipping
No minimum order.


International Series of Monographs on Interdisciplinary and Advanced Topics in Science and Engineering, Volume 1: Foundations of the Non-Linear Mechanics of Continua deals with the theoretical apparatus, principal concepts, and principles used in the construction of models of material bodies that fill space continuously. This book consists of three chapters. Chapters 1 and 2 are devoted to the theory of tensors and kinematic applications, focusing on the little-known theory of non-linear tensor functions. The laws of dynamics and thermodynamics are covered in Chapter 3.

This volume is suitable for persons who intend to do research on the development of the theory of dynamics and thermodynamics or solve specific theoretical problems on the motion of a continuous medium with finite deformations.

Table of Contents

Editor's Preface



Chapter I. Outline of Tensor Calculus

1. Curvilinear Systems of Coordinates

2. Transformation of Coordinates

3. The Concept of a Tensor and the Fundamentals of the Algebra of Tensors

4. Tensors of Second Rank

5. Tensor Functions

6. Functions of Several Tensors

7. Tensor Potential Functions

8. Differentiation of Tensors with Respect to Space Coordinates

9. The Riemann-Christoffel Tensor

10. Differentiation of Tensors with Respect to Parameters

Chapter II. Kinematics of a Deformable Medium

1. General Features of Continuous Deformations

2. Affine Deformations

3. Regular Finite Displacements of a Continuum

4. The Deformation Tensors

5. The Vector of Rotation of the Axes of Deformation

6. Kinematic Tensors Characterizing a Deformation

7. The Differentiation of Non-Linear Tensor Functions

8. The Conditions of Compatibility

Chapter III. Dynamic and Thermodynamic Exposition

1. Physical Considerations

2. The Concept of a Material Continuum

3. The Equations of Continuity

4. Dynamical Equations

5. The Theorem of Kinetic Energy and the Work of the Internal Surface Forces

6. Thermodynamic Systems and Cycles. The Equation of Conservation of Energy and the Concept of the Internal Energy of a System

7. The Basic Concepts and Consequences of the Second Law of Thermodynamics

8. Ideal Liquids and Gases

9. The Simplest Ideal Processes

10. Special Examples of Ideal Compressible Media

11. The Equations of Motion of Gas Mixtures with Physico-Chemical Interaction Between the Components

12. V


No. of pages:
© Pergamon 1966
eBook ISBN:

About the Author

L. I. Sedov

About the Editor

Simon Ostrach

Ratings and Reviews